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Finding the Fourth Proportional to 351,576.70, 527,161.92 and 309,541.12

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Solution

The fourth proportional to 351,576.70, 527,161.92 and 309,541.12 is: 464,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,576.70 : 527,161.92 = 309,541.12 : x
  2. Step 2: Convert to fraction form
    351,576.70/527,161.92 = 309,541.12/x
  3. Step 3: Cross multiply
    351,576.70x = 527,161.92 × 309,541.12
  4. Step 4: Simplify right side
    351,576.70x = 163,178,291,138.15
  5. Step 5: Solve for x
    x = 163,178,291,138.15/351,576.70
  6. Step 6: Final answer
    x = 464,132.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.